FSA Algebra I End-of-Course Review Packet Answer Key

1 FSA Algebra I End-of-Course Review Packet Answer Key Algebra and Modeling FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 2 Table of Contents Table of Contents .. 2 EOC Practice .. 3 EOC Practice .. 5 EOC Practice .. 7 EOC Practice .. 9 EOC Practice .. 11 EOC Practice .. 13 EOC Practice .. 14 EOC Practice .. 16 EOC Practice .. 19 EOC Practice .. 21 EOC Practice .. 23 EOC Practice .. 25 EOC Practice .. 27 EOC Practice .. 29 EOC Practice .. 31 EOC Practice .. 33 FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 3 EOC Practice Level 2 Level 3 Level 4 Level 5 adds two polynomials with integral coefficients, including adding when multiplying a constant to one or both polynomials using the distributive property is required adds and subtracts polynomials, including adding or subtracting when one or both polynomials is multiplied by a monomial or binomial, with a degree no greater than 1 completes an informal argument on closure; applies multiple operations (excluding division) when simplifying polynomials explains closure for polynomials 1.

2 What is the product of the following expression? ( ) A. B. C. D. 2. What is the product of the following expression? ( ) A. B. C. D. 3. Which is the simplified form of this expression? ( )( ) A. B. C. D. 4. In the diagram below, the dimensions of the large rectangle are ( ) by ( ) units. The dimensions of the cut-out rectangle are by units. Which choice expresses the area of the shaded region, in square units? A. B. C. D. FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 4 5. Given ( )( ) ( ) What are the values of , , and ? 6. Which expression is equivalent to ( ) ( )? A. B.

3 C. D. 7. Which expression is equivalent to ( )( ) A. B. C. D. 8. Under what operations is the system of polynomials NOT closed? A. Addition B. Subtraction C. Multiplication D. Division FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 5 EOC Practice Level 2 Level 3 Level 4 Level 5 writes or chooses a one- variable linear equation or inequality in a real-world context writes or chooses a simple exponential (no horizontal or vertical translation) or a simple quadratic equation writes an exponential equation with a horizontal or vertical translation or a quadratic equation; identifies the meaning of the variables employs the modeling cycle when writing an equation 1. There are 60 students going on a field trip to the chocolate factory. The students are from three different classes.

4 Mrs. Hooper's class has 24 students and Mr. Gomez's class has 18 students. Which of the equalities correctly describes the students and could be used to solve for how many students are from Mr. Anderson's class? (Let A = the number of students in Mr. Anderson's class.) A. B. C. D. 2. The ages of three friends are consecutively one year apart. Together, their ages total 48 years. Which equation can be used to find the age of each friend (where represents the age of the youngest friend)? A. B. ( )( ) C. ( ) ( ) D. ( ) ( ) a) What are the ages of the friends? A. B. C. D. 3. Student council is renting a tent for $350 for an upcoming student fair. Each student attending the fair will pay $ All other attendees will pay $ each.

5 If 200 students attend the fair, which inequality can be used to determine the number of "other" attendees, , needed to cover the cost of the tent? A. ( )( ) B. ( )( ) C. ( )( ) D. ( )( ) 4. A farmer has a rectangular field that measures 100 feet by 150 feet. He plans to increase the area of the field by 20%. He will do this by increasing the length and width by the same amount, x. Which equation represents the area of the new field? A. ( )( ) B. 2( ) ( ) C. ( )( ) D. ( )( ) FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 6 5. A heart shaped chocolate box is composed of one square and two half circles. The total number of chocolates in the box is calculated by adding the area of a square given by and the area of a circle approximated by.

6 The company plans to add a small additional box for a promotional campaign containing one row ( ) of chocolates. If the total combined heart shape and small box contain 69 chocolates, which of these equations could be utilized to solve for the number of chocolates in the small box ( )? A. B. C. D. 6. An internet business sells flags for $ each, plus $ shipping per flag. Shipping is free, however, on orders where more than $ of flags are purchased. Which correctly shows the number of flags f that must be purchased to get free shipping? A. B. C. D. 7. A scientist is studying wildlife. She estimates the population of bats in her state to be 270,000. She predicts the population to grow at an average annual rate of Using the scientist s prediction, create an equation that models the population of bats, , after years.

7 ( ) 8. Sandy programmed a website s checkout process with an equation to calculate the amount customers will be charged when they download songs. The website offers a discount. If one song is bought at the full price of $ , then each additional song is $.99. State an equation that represents the cost, , when songs are downloaded. ( ) or 9. Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60 per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount. b) Determine algebraically and state in how many months the two boys will owe the same amount. State the amount they will owe at this time.

8 C) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and state if Ian is correct. Explain your reasoning. Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money. Six months after 10 is 16 months, and ( ) . He will still owe $40 at 16 months, so he is not paid off. FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 7 EOC Practice Level 2 Level 3 Level 4 Level 5 solves linear equations (with variable on one side and simple benchmark fractions as the coefficient; may require the use of the distributive property and adding like terms) and inequalities (with a variable on one side and positive coefficient that may include a simple benchmark fraction as the coefficient) in one variable solves linear equations and inequalities in one variable, where the variable is included on both sides of the equal sign or inequality, that require up to three steps to isolate the variable with rational coefficients solves linear equations in one variable, including equations where one coefficient is represented by a letter and requires up to three steps to isolate the variable.

9 Solves compound inequalities in one variable solves linear equations and inequalities in one variable, including equations with coefficients represented by letters that require up to four steps to isolate the variable 1. Solve for : ( ) A. B. C. D. 2. Solve for : ( ) ( ) ( ) A. B. C. D. 3. Solve: ( ) ( ) A. B. C. D. 4. Solve the following inequality for , showing all of your work carefully and completely. 5. What is the value of in the equation A. -16 B. 16 C. -4 D. 4 FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 8 6. Fred solved the equation ( ) ( ) as shown. Fred made an error between Step 1 and Step 2. Part A: Explain the error Fred made. Instead of adding 4 to 42, Fred added 4 to 42 Part B: What is the correct solution to the original equation?

10 The solution to the original equation is FSA Algebra 1 EOC Review 2016 -2017 Algebra and Modeling Teacher Packet 9 EOC Practice Level 2 Level 3 Level 4 Level 5 solves a literal linear equation in a real-world context for a variable whose coefficient is 1 solves a literal equation that requires two procedural steps solves a literal equation that requires three procedural steps solves a literal equation that requires four procedural steps 1. The formula for simple interest plus starting principal, where = amount, = principal, = interest rate per period, and = time, is given below. Which could be used to find the time, , if the amount, principal, and interest are known? A. B. C. D. 2. A line is represented by the equation .What is another way to represent the same line? A. B. C. D. 3.